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Finding the Third Proportional to 27,948 and 60,537

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Solution

The third proportional to 27,948 and 60,537 is: 131,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,948 : 60,537 = 60,537 : x
  2. Step 2: Convert to fraction form
    27,948/60,537 = 60,537/x
  3. Step 3: Cross multiply
    27,948x = 60,537 × 60,537
  4. Step 4: Simplify right side
    27,948x = 3,664,728,369
  5. Step 5: Solve for x
    x = 3,664,728,369/27,948
  6. Step 6: Final answer
    x = 131,126.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.